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Finding the Third Proportional to 399,605.91 and 856,210.50

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Solution

The third proportional to 399,605.91 and 856,210.50 is: 1,834,548.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,605.91 : 856,210.50 = 856,210.50 : x
  2. Step 2: Convert to fraction form
    399,605.91/856,210.50 = 856,210.50/x
  3. Step 3: Cross multiply
    399,605.91x = 856,210.50 × 856,210.50
  4. Step 4: Simplify right side
    399,605.91x = 733,096,420,310.25
  5. Step 5: Solve for x
    x = 733,096,420,310.25/399,605.91
  6. Step 6: Final answer
    x = 1,834,548.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.